This seems to be referring to a particular construction of the perpendicular bisector of a segment which is not shown. Typically we set our compass needle on one endpoint of the segment and compass pencil on the other and draw the circle, and then swap endpoints and draw the other circle, then the line through the intersections of the circles is the perpendicular bisector.
There aren't any parallel lines involved in the above described construction, so I'll skip the first one.
2. Why do the circles have to be congruent ...
The perpendicular bisector is the set of points equidistant from the two endpoints of the segment. Constructing two circles of the same radius, centered on each endpoint, guarantees that the places they meet will be the same distance from both endpoints. If the radii were different the meets wouldn't be equidistant from the endpoints so wouldn't be on the perpendicular bisector.
3. ... circles of different sizes ...
[We just answered that. Let's do it again.]
Let's say we have a circle centered on each endpoint with different radii. Any point where the two circles meet will then be a different distance from one endpoint of the segment than from the other. Since the perpendicular bisector is the points that are the same distance from each endpoint, the intersection of circles with different radii isn't on it.
4. ... construct the perpendicular bisector ... a different way?
Maybe what I first described is different; there are no parallel lines.
Answer:
2x
Step-by-step explanation:
Given
![\frac{4x^4}{2x^3}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E4%7D%7B2x%5E3%7D)
=
× ![\frac{x^4}{x^3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%7D%7Bx%5E3%7D)
= 2 × ![x^{(4-3)}](https://tex.z-dn.net/?f=x%5E%7B%284-3%29%7D)
= 2x
1 5/6 divided by 2 1/8
1) you must change the mixed numbers into improper fractions
2) 1 5/6 is 11/6 and 2 1/8 is 17/8
3) then you must change the operation from division to multiplication
4) then you have to find the recipricol of 17/8 (flip it) and it will be 8/17
5) Finally, you multiply and you will get 88/102: 11/6x8/17=88/102 amd yoy can simplify if asked
Answer:
7 dogs
Step-by-step explanation:
$30/3 = how many dollars per dog
$10 per dog he washes
$70/$10 = 7, he washes 7 dogs
It is given in the question that
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.
Total distance is 625 meters and total time taken is
![(10+15) minutes=25minutes](https://tex.z-dn.net/?f=%20%2810%2B15%29%20minutes%3D25minutes%20)
Average speed is
![\frac{total \ distance \ travelled}{total \ time \ taken}](https://tex.z-dn.net/?f=%20%5Cfrac%7Btotal%20%5C%20distance%20%5C%20%20travelled%7D%7Btotal%20%5C%20time%20%5C%20taken%7D%20)
![= \frac{625}{25}meter/minute = 25 meter/minute](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B625%7D%7B25%7Dmeter%2Fminute%20%3D%2025%20meter%2Fminute%20)